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Finding the Fourth Proportional to 567.96, 856.25 and 532.77

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Solution

The fourth proportional to 567.96, 856.25 and 532.77 is: 803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.96 : 856.25 = 532.77 : x
  2. Step 2: Convert to fraction form
    567.96/856.25 = 532.77/x
  3. Step 3: Cross multiply
    567.96x = 856.25 × 532.77
  4. Step 4: Simplify right side
    567.96x = 456,184.31
  5. Step 5: Solve for x
    x = 456,184.31/567.96
  6. Step 6: Final answer
    x = 803.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.